Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems

Igor Aranson, Igor Mitkov

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads to the formation of helicoidal structures. This behavior originates from the competition between the scroll curvature and unstable core dynamics. We show that the obtained instability persists even beyond the meander core instability of the two-dimensional spiral wave.

Original languageEnglish (US)
Pages (from-to)4556-4559
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number4
DOIs
StatePublished - Jan 1 1998

Fingerprint

Reaction-diffusion System
Vortex
vortices
Three-dimensional
Excitable Systems
meanders
Spiral Wave
Straight
Unstable
Curvature
curvature
Demonstrate

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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abstract = "We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads to the formation of helicoidal structures. This behavior originates from the competition between the scroll curvature and unstable core dynamics. We show that the obtained instability persists even beyond the meander core instability of the two-dimensional spiral wave.",
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